Processing math: 100%

Worksheet on Remainder Theorem

Practice the questions given in the worksheet on Remainder Theorem.


1. Use the Remainder Theorem, find the remainder when 4x3 - 3x2 + 2x - 4 is divided by x + 1.

2. If p(y) = y3 + y2 - 2y + 1, using Remainder Theorem, find the remainder, when p(y) is divided by (y – 3), find the value of p(a).

3. Find the remainder (without division) when

(a) x2 - 2x + 4 is divided by x - 1

(b) 2x3 - 3x2 + 7x - 8 is divided by x - 1


4. Use the Remainder Theorem, find the remainder when x4 - 3x2 + 4x - 12 is divided by x - 3.


5. Find the remainder (without division) when

(a) x3 + 4x + 2 is divisible by x + 2

(b) 4x3 - 3x2 + 5x + 4 is divided by 2x + 1

(c) 4x3 + 5x2 + 6x - 7 is divided by 2x - 1


6. What number should be added to x2 + 5 so that the resulting polynomial leaves the remainder 3 when divided by x + 3?

7. Use the Remainder Theorem, find the remainder when 4x3 - 3x2 + 2x - 4 is divided by x + 1.

8. What number should be subtracted from 3x2 + 5x so that the resulting polynomial leaves the remainder 1 when divided by 2x + 5?

9. Use the Remainder Theorem, find the remainder when x6 + 3x2 + 10 is divided by x - 2.

10.  Find a if the remainder is a when x3 + 3x2 - ax + 3 is divided by x - 2.

11. If the polynomials ax3 + 4x2 + 3x – 4 and x3 - 4x + a leave the same remainder when divided by (x - 3), find the value of a.

12. Find the value of k if the remainder is -3 when kx3 + 8x2 - 4x + 10 is divided by x +1.

13. If both ax3 + 2x2 - 3 and x2 - ax + 4 leave the same remainder when divided by x - 2, find a.


Answers for the worksheet on Remainder Theorem are given below:


Answers:


1. -13

2. 31, a3 + a2 - 2a + 1

3. (a) 3

(b) -2


4. 54

5. (a) -14

(b) 14

(c) -94


6. -11

7. -13

8. 214

9. 86

10. 233

11. a = -1.

12. 25

13. 310

● Factorization















10th Grade Math

From Worksheet on Remainder Theorem to HOME




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 20, 25 12:58 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  2. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

    Jul 20, 25 10:22 AM

    Cubes in Cuboid
    Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

    Read More

  3. Worksheet on Area of a Square and Rectangle | Area of Squares & Rectan

    Jul 19, 25 05:00 AM

    Area and Perimeter of Square and Rectangle
    We will practice the questions given in the worksheet on area of a square and rectangle. We know the amount of surface that a plane figure covers is called its area. 1. Find the area of the square len…

    Read More

  4. Area of Rectangle Square and Triangle | Formulas| Area of Plane Shapes

    Jul 18, 25 10:38 AM

    Area of a Square of Side 1 cm
    Area of a closed plane figure is the amount of surface enclosed within its boundary. Look at the given figures. The shaded region of each figure denotes its area. The standard unit, generally used for…

    Read More

  5. What is Area in Maths? | Units to find Area | Conversion Table of Area

    Jul 17, 25 01:06 AM

    Concept of Area
    The amount of surface that a plane figure covers is called its area. It’s unit is square centimeters or square meters etc. A rectangle, a square, a triangle and a circle are all examples of closed pla…

    Read More